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Finding the Fourth Proportional to 5,494.56, 7,582.49 and 2,976.69

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Solution

The fourth proportional to 5,494.56, 7,582.49 and 2,976.69 is: 4,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.56 : 7,582.49 = 2,976.69 : x
  2. Step 2: Convert to fraction form
    5,494.56/7,582.49 = 2,976.69/x
  3. Step 3: Cross multiply
    5,494.56x = 7,582.49 × 2,976.69
  4. Step 4: Simplify right side
    5,494.56x = 22,570,742.29
  5. Step 5: Solve for x
    x = 22,570,742.29/5,494.56
  6. Step 6: Final answer
    x = 4,107.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.